julietisdabomb julietisdabomb
  • 14-04-2021
  • Mathematics
contestada

65^2 + b^2 = 97^2
what is the length of the missing leg?

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ZackiSyahbana
ZackiSyahbana ZackiSyahbana
  • 14-04-2021

Answer

[tex] \sf{}b_{1} = - 72 \: \: \: or \: \: \: b_{2} = 72[/tex]

Explain

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[tex] \sf{65}^{2} + {b}^{2} = {97}^{2} [/tex]

[tex] \sf{}4.225 + {b}^{2} = 9.409[/tex]

[tex] \sf {b}^{2} = 9.409 - 4.225[/tex]

[tex] \sf {b}^{2} = 5.184[/tex]

[tex] \sf{}b_{1.2} = ±\sqrt{5.184} [/tex]

[tex] \sf{}b_{1.2} = ±72[/tex]

[tex] \sf{}b_{1} = - 72 \: \: \: or \: \: \: b_{2} = 72[/tex]

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